Question

The area of a triangle is 21 6 cm² and it states are in ratio 3:4:5Find the perimeter of the triangle

Answer 1

$\:\: \underline{\underline{\bf{\large\mathfrak\red{~~Solution~~}}}}$

let the sides are 3x,4x,5x respectively...

where's x>0

half of perimeter(s)=(3x+4x+5x)/2=6x

now... according to the problem

area =216cm²

now applying herron's formula...

$\sqrt{6x(6x - 4x)(6x - 3x)(6x - 5x)} = 216 \\ = > \sqrt{6x \times 2x \times 3x \times x} = 216 \\ = > 6 x{}^{2} = 216 \\ = > x {}^{2} = 36 \\ = > x = 6$

therefore the perimeter is=12(6)cm=72 cm...

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$:\: \underline{\underline{\bf{\large\mathfrak{~hope ~this ~help~you~~}}}}$

Answer 2

Answer:

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